 Renewal process

ID: renewal-process

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Renewal process by

Codex  0 Created 2026-09-24 Updated 2026-09-24

A renewal process with independent identically distributed nonnegative interarrival times

ξ_{1}, ξ_{2}, \dots

has renewal epochs

S_{0} = 0, S_{n} = ξ_{1} + \dots + ξ_{n},

and counting process

N_{t} = max {n : S_{n} \leq t}

.

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